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7nadin3 [17]
3 years ago
6

A) Identify all x-values not in the domain of y=(x² – 4x²) / (3x² - 6x – 24)

Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

x ≠ 4 or -2

Step-by-step explanation:

the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.

3x^2 - 6x - 24 ≠ 0

3(x^2 - 2x - 8) ≠ 0          (factor out a 3)

3(x - 4)(x + 2) ≠ 0            (factor equation)

x ≠ 4, x ≠ -2                     (use zero product property to find zeros)

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What are the solutions to the equation (x – 6)(x + 8) = 0?
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Answer:

x=6, x=-8

Step-by-step explanation: i used the symbolab calculator online to solve this.

3 0
3 years ago
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The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the po
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prisoha [69]

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Next problem

102+31+x=180

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